Beam shaping system and scanner

ABSTRACT

An elongated laser beam optical assembly. The assembly has a laser light source that produces a laser beam. A cylindrical anamorphic lens has a planar surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof. An aperture passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam.

CROSS-REFERENCE TO RELATED APPLICATIONS

The present application claims the benefit of Chinese Patent Application for Utility Model No. 201620112663.7 for a Beam Shaping System and Scanner filed Feb. 4, 2016 at the State Intellectual Property Office of the People's Republic of China. The foregoing patent application is hereby incorporated by reference in its entirety.

FIELD OF THE INVENTION

The present invention relates to bar code scanners and similar devices. In particular, the certain embodiments consistent with the present invention utilize an anamorphic lens in a beam shaping system of the bar code scanner to get an extremely elongated laser scanning beam capable of reading poor and damaged quality bar code symbols.

BACKGROUND

Poor quality bar codes and damaged bar codes such as those shown in FIG. 1A and FIG. 1B are more difficult for a bar code reader to read. This results in decreased throughput at the retail point of sale. Referring to FIG. 2, an effective way to improve the ability to read such bar codes is to use an elongated laser beam 10 in the cross-sectional direction (shown up and down) of laser beam scanning motion (left to right as shown), so as to help average out spatial noise and improve the signal to noise (SNR) of laser scanning bar codes reading system.

A traditional arrangement for generating an elongated laser beam 10 is depicted in FIG. 3. In this arrangement, a Visible Laser Diode (VLD) 14 generates laser light. The VLD 14 is fitted within a yoke 18. The laser light passed through a collimator lens 22 that causes the light rays from VLD 22 to be parallel to each other. The collimated light finally passes through an aperture in a barrel 26 to cylindrical lens 30 to emerge as the elongated laser beam 10. This arrangement is discussed in greater detail in U.S. Pat. No. 8,376,233 to Horn et al., which is hereby incorporated by reference. In this arrangement, in order to get an extremely elongated laser beam, a cylindrical Lens or a cylindrical fold mirror (CFM) is used in the optical path. Unfortunately, this contributes to the part count for the assembly and also increases the difficulty of alignment of the optical system.

SUMMARY

Accordingly, in one aspect, the present invention embraces use of an anamorphic lens in a bar code reader device to generate an elongated laser beam in a simpler structure.

In an example embodiment, an elongated laser beam optical assembly has a laser light source that produces a laser beam. A cylindrical anamorphic lens is provided which has a planar surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof. An aperture passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam.

In certain embodiments, a yoke holds the assembly in alignment. In certain embodiments, the anamorphic lens is a plastic lens. In certain embodiments, the laser light source comprises a visible laser diode. In certain embodiments, the curvature of the anamorphic end of the anamorphic lens is given by:

$z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$

where:

z is sag of the surface parallel to the z-axis,

CUX, CUY are curvatures in x and y, respectively,

KX, KY are conic coefficients in x and y, respectively,

AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from conic, and

AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from conic.

In certain embodiments, CUX=CUY, KX=KY, and AP=BP=CP=DP=0. In certain embodiments, CUX is approximately −1/2.1895, CUY is approximately −1/2.2350, and KX=KY=AR=BR=CR=DR=AP=BP=CP=DP=0. In certain embodiments, a laser drive circuit generates and delivers drive current signals to the laser light source.

In another example embodiment, a laser scanning system has a housing having a light transmission window and an elongated laser beam optical assembly that includes: a laser light source that produces a laser beam, a cylindrical anamorphic lens having a first surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof, and an aperture that passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam; and a laser scanning mechanism for scanning said elongated laser beam out of said housing through said light transmission window and across a scanning field defined external to said housing, in which a bar code symbol is present for scanning by said elongated laser scanning beam.

In certain embodiments, a laser drive circuit generates and delivers drive current signals to the laser light source. In certain embodiments, a yoke holds the assembly in alignment. In certain embodiments, the anamorphic lens is a plastic lens. In certain embodiments, the laser light source is a visible laser diode. In certain embodiments, the curvature of the anamorphic end of the anamorphic lens is given by:

$z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$

where:

z is sag of the surface parallel to the z-axis,

CUX, CUY are curvatures in x and y, respectively,

KX, KY are conic coefficients in x and y, respectively,

AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from conic, and

AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from conic.

In certain embodiments, CUX=CUY, KX=KY, and AP=BP=CP=DP=0. In certain embodiments, the first surface comprises either a planar surface or an anamorphic surface.

In another example, an elongated laser beam optical assembly has a laser light source that produces a laser beam. A cylindrical anamorphic lens has a first surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof. An aperture passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam.

In certain embodiments, the first surface comprises either a planar surface or an anamorphic lens surface. In certain embodiments, a laser drive circuit generates and delivers drive current signals to the laser light source. In certain embodiments, a yoke holds the assembly in alignment; and where the anamorphic lens comprises a plastic lens and the laser light source comprises a visible laser diode.

The foregoing illustrative summary, as well as other exemplary objectives and/or advantages of the invention, and the manner in which the same are accomplished, are further explained within the following detailed description and its accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1A and 1B depict examples of poor quality bar codes.

FIG. 2 depicts an elongated laser beam superimposed over a portion of a bar code.

FIG. 3 shows a traditional laser shaping system using a cylindrical lens.

FIG. 4 shows a laser shaping system using an anamorphic lens consistent with certain embodiments of the present invention.

FIG. 5 depicts an anamorphic lens structure.

FIG. 6 shows the laser shaping system of FIG. 4 from a side view with X and y directions clearly illustrated.

FIG. 7A shows a graph of a simulated beam profile generated by the beam shaping system without the anamorphic lens, while FIG. 7B shows a graph of a simulated beam profile generated by the beam shaping with the anamorphic lens.

FIG. 8A, FIG. 8B and FIG. 8C show a sequence of graphs depicting the beam intensity distribution at 100 mm, 150 mm and 250 mm from the aperture 44 in barrel 26.

FIG. 9 shows a block diagram of a scanner system incorporating an optical system consistent with certain embodiments.

DETAILED DESCRIPTION

The present invention embraces using an anamorphic lens in a beam shaping system of a bar code scanner (that scans any type of bar code, i.e., one dimensional, two dimensional and three dimensional bar codes) to get an extremely elongated laser scanning beam that is even capable of reading poor and damaged quality bar code symbols.

An example embodiment of the present laser beam shaping system is shown in FIG. 4 to use an anamorphic lens 40 between VLD 14 (residing in yoke assembly 18) and barrel 26 (having an aperture—not shown in this view). No collimator lens 22 and no cylindrical lens 30 are used to produce the elongated laser beam 10 from the barrel 26, thereby reducing the cost of the optical system. The anamorphic lens has two primary functions:

1) Collimation of the laser beam in the direction of the laser beam scanning motion; and

2) Elongation of the laser beam in cross-sectional direction of laser beam scanning motion.

Compared with the traditional system as shown in FIG. 3, the present laser shaping system uses fewer components to get an extremely-elongated laser beam. This not only reduces cost, but also simplifies alignment of the system.

An example anamorphic lens has a planar surface 50 and an anamorphic surface 54 as shown in FIG. 5. The anamorphic surface is an aspheric surface with bilateral symmetry in both X and Y. But, the anamorphic surface does not necessarily have rotational symmetry. The surface formed without the additional aspheric terms is sometimes referred to as a biconic surface.

The equation for an anamorphic surface is given by:

$z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$

where:

z is the sag of the surface parallel to the z-axis

CUX, CUY are the curvatures in x and y, respectively

KX, KY are the conic coefficients in x and y, respectively, and correspond to eccentricity in the same way as K for the ASP surface type (see discussion in “What You Need to Know About Conic Surfaces” on page 236 of CONIC SURFACES, Code V Lens System Setup Reference Manual, Version 10.5, October 2012. This manual is hereby incorporated by reference).

AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from the conic.

AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from the conic.

This reduces to the asphere (ASP) surface type when CUX=CUY, KX=KY, and AP=BP=CP=DP=0. When AP=BP=CP=DP=+1 or −1, the higher-order aspherizing is purely in y or x, respectively.

Key parameters of the lens are CUX, CUY, KX, KY, AR, BR, CR, DR, AP, BP, CP, DP, which are used to specify the anamorphic surface. The anamorphic surface CUX=−12.1895, CUY=−1/2.2350, KX=KY=0, AR=BR=CR=DR=0, AP=BP=CP=DP=0″ is an optimal design corresponding to lens material Zeonex E48R for Beam Divergence of the VLD θ∥=12 degree and θ⊥=26.8 degree. Diameter of aperture is 1.04 mm″. Other lens materials that have high transmission of light at the appropriate wavelength (e.g. 650 nm for the 650 nm VLD that is used in the present example) can also be used for the anamorphic lens such as other plastics or glass, which may have a different refractive index. The anamorphic surface type parameters (CUX, CUY, KX, KY, AR, BR, CR, DR, AP, BP, CP, and DP) should be adjusted for the particular lens material used.

Referring to FIG. 6, an example of a lens assembly consistent with the present teachings is shown.

Using a plastic (for example, made of Zeonex® brand cyclo Olefin Polymer E48R from Zeon Chemicals, L.P.) an anamorphic lens can be produced with a planar surface and a anamorphic surface, and for the anamorphic surface CUX=−1/2.1895, CUY=−1/2.2350, KX=KY=0, AR=BR=CR=DR=0, AP=BP=CP=DP=0.

The visible laser diode (VLD), yoke, anamorphic lens, and barrel may be assembled in the sequence shown in FIG. 6. In the present example, the VLD produces light at 650 nm wavelength.

The Beam Divergence of the VLD in this example is θ∥=12 degrees and θ⊥=26.8 degrees. The diameter of aperture is 1.04 mm.

The anamorphic lens may be rotated about the optical axis (z axis) within lens barrel (ab parallel to direction of the laser beam scanning motion, cd parallel to the cross-sectional direction of laser beam scanning motion). The barrel can be adjusted within the yoke to change the distance between VLD and anamorphic lens, to generate a laser beam that is collimated in X-direction and elongated in Y-direction. This collimated laser beam can then be used in a bar code scanning system to provide enhancement in reading of bar codes at reduced parts count and lower cost.

Referring to FIG. 7A, it is noted that without the anamorphic lens, the beam size in the x- and y-direction are almost equal. This means that the beam spot is almost rounded. With anamorphic lens, FIG. 7B shows that the y-direction is larger than the x-direction. From z=0 to 340 mm, the beam spot is elongated in y-direction producing an extremely elongated laser scanning beam.

Comparing FIGS. 7A and 7B, it is noted that only the beam size in the y-direction is changed. The beam size in the x-direction (the direction of the scanning motion) is not changed and will not change scanning resolution. The detailed data used to produce the graphs of FIG. 7 appears in the table below:

(a) 13.5% beam (b) 13.5% beam size/mm (without size/mm (with Distance from Anamorphic lens) Anamorphic lens) aperture z/mm X-direction Y-direction X-direction Y-direction 0 0.833333 0.916667 0.833333 0.916667 25 0.716667 0.766667 0.716667 0.883333 50 0.566667 0.616667 0.566667 0.85 75 0.45 0.5 0.45 0.833333 100 0.366667 0.383333 0.366667 0.816667 125 0.266667 0.266667 0.266667 0.8 150 0.183333 0.166667 0.183333 0.8 175 0.2 0.183333 0.2 0.783333 200 0.25 0.233333 0.25 0.783333 225 0.3 0.283333 0.3 0.8 250 0.35 0.35 0.35 0.783333 275 0.433333 0.45 0.433333 0.733333 300 0.533333 0.566667 0.516667 0.716667 325 0.65 0.716667 0.633333 0.733333 350 0.766667 0.833333 0.75 0.75 375 0.866667 0.95 0.866667 0.783333 400 0.966667 1.08333 0.966667 0.8 425 1.06667 1.2 1.06667 0.816667 450 1.16667 1.31667 1.16667 0.816667 475 1.26667 1.45 1.26667 0.7 500 1.36667 1.58333 1.36667 0.65

Referring to FIGS. 8A, 8B and 8C, it can be seen that in an example of an optical system as disclosed herein, the resulting laser beam 10 that is produced from the optical system has a width in the x direction of about 0.3 mm and a length in the y direction of about 1.0 mm at a z distance of 100 mm; a width in the x direction of about 0.2 mm and a length in the y direction of about 0.8 mm at a z distance of 150 mm; and a width in the x direction of about 0.4 mm and a length in the y direction of about 1.0 mm at a z distance of 250 mm.

As shown in FIG. 9, the assembly described above can be utilized in a laser scanning device. The laser scanning device uses a scanner system 70 (e.g., having a rotatable scanning element such as a mirror) that causes the laser beam 10 to be scanned across the target bar code 74 in a scanning direction. A processor 82 controls the scanner 78 to cause the scanner to direct the laser beam 10 to the bar code 74 and to receive and interpret the reflected light signals therefrom. The VLD 14 is driven by a laser drive circuit 86 under control of processor 82 to generate the laser light using laser system 60. When the bar code 74 is scanned, the output of the scanner 70 is provided to processor 82, which sends the decoded bar code information to a host processor via a host I/O interface 86 in this embodiment. In other embodiments, the host processor may be utilized in conjunction with processor 82 to interpret the bar code data.

In this arrangement, the scanning takes place through a light transmission window. Such a window can be provided in a scanner housing such that the laser beam scans for a bar code. The arrangement can form a part of a hand held bar code scanner or fixed position bar code scanner without limitation. Many variations will occur to those skilled in the art upon consideration of the present teachings.

While the present embodiment utilizes an anamorphic lens having one planar surface and one anamorphic surface, one planar surface and one anamorphic surface as used is but one simple option. The plane surface can also be replaced by a second anamorphic surface (i.e., a double anamorphic surface). Two anamorphic surfaces form a different focal power in the X-direction and y-direction, but could be designed to operate as the lens used in the present application of production of an elongated laser beam. Many other variations will occur to those skilled in the art upon consideration of the present teachings.

To supplement the present disclosure, this application incorporates entirely by reference the following commonly assigned patents, patent application publications, and patent applications:

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In the specification and/or figures, typical embodiments of the invention have been disclosed. The present invention is not limited to such exemplary embodiments. The use of the term “and/or” includes any and all combinations of one or more of the associated listed items. The figures are schematic representations and so are not necessarily drawn to scale. Unless otherwise noted, specific terms have been used in a generic and descriptive sense and not for purposes of limitation. 

The invention claimed is:
 1. An elongated laser beam optical assembly, comprising: a laser light source that produces a laser beam; a cylindrical anamorphic lens having a planar surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof; and an aperture that passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam; wherein the curvature of the anamorphic surface is given by: $z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$ where: z is sag of the surface parallel to the z-axis, CUX, CUY are curvatures in x and y, respectively, KX, KY are conic coefficients in x and y, respectively, AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from conic, and AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from conic.
 2. The assembly according to claim 1, further comprising a yoke that holds the assembly in alignment.
 3. The assembly according to claim 1, where the anamorphic lens comprises a plastic lens.
 4. The assembly according to claim 1, where the laser light source comprises a visible laser diode.
 5. The assembly according to claim 1, where CUX=CUY, KX=KY, and AP=BP=CP=DP=0.
 6. The assembly according to claim 1, where CUX is approximately −12.1895, CUY is approximately −1/2.2350, and KX=KY=AR=BR=CR=DR=AP=BP=CP=DP=0.
 7. The assembly according to claim 1, further comprising a laser drive circuit for generating and delivering drive current signals to the laser light source.
 8. A laser scanning system, comprising: a housing having a light transmission window; an elongated laser beam optical assembly, comprising: a laser light source that produces a laser beam, a cylindrical anamorphic lens having a first surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof, and an aperture that passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam; and a laser scanning mechanism for scanning said elongated laser beam out of said housing through said light transmission window and across a scanning field defined external to said housing, in which a bar code symbol is present for scanning by said elongated laser scanning beam; wherein a curvature of the anamorphic surface is given by: $z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$ where: z is sag of the surface parallel to the z-axis, CUX, CUY are curvatures in x and y, respectively, KX, KY are conic coefficients in x and y, respectively, AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from conic, and AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from conic.
 9. The assembly according to claim 8, further comprising a laser drive circuit for generating and delivering drive current signals to the laser light source.
 10. The system according to claim 8, further comprising a yoke that holds the assembly in alignment.
 11. The assembly according to claim 8, where the anamorphic lens comprises a plastic lens.
 12. The assembly according to claim 8, where the laser light source comprises a visible laser diode.
 13. The assembly according to claim 8, where CUX=CUY, KX=KY, and AP=BP=CP=DP=0.
 14. The assembly according to claim 8, where the first surface comprises either a planar surface or an anamorphic surface.
 15. An elongated laser beam optical assembly, comprising: a laser light source that produces a laser beam; a cylindrical anamorphic lens having a first surface at a first end and an anamorphic surface at a second end thereof, the first end receiving the laser beam from the laser light source and producing an output laser beam from the second end thereof; and an aperture that passes the output laser beam from the second end of the anamorphic lens to produce an elongated laser beam; wherein a curvature of the anamorphic surface is given by: $z = \frac{{({CUX})x^{2}} + {({CUY})y^{2}}}{\begin{matrix} {1 + \sqrt{1 - {\left( {1 + {KX}} \right)({CUX})^{2}x^{2}} - {\left( {1 + {KY}} \right)({CUY})^{2}y^{2}}} +} \\ {{{AR}\left\{ {{\left( {1 - {AP}} \right)x^{2}} + {\left( {1 + {AP}} \right)y^{2}}} \right\}^{2}} + {{BR}\left\{ {{\left( {1 - {BP}} \right)x^{2}} + {\left( {1 + {BP}} \right)y^{2}}} \right\}^{3}} +} \\ {{{CR}\left\{ {{\left( {1 - {CP}} \right)x^{2}} + {\left( {1 + {CP}} \right)y^{2}}} \right\}^{4}} + {{DR}\left\{ {{\left( {1 - {DP}} \right)x^{2}} + {\left( {1 + {DP}} \right)y^{2}}} \right\}^{5}}} \end{matrix}}$ where: z is sag of the surface parallel to the z-axis, CUX, CUY are curvatures in x and y, respectively, KX, KY are conic coefficients in x and y, respectively, AR, BR, CR, DR are the rotationally symmetrical portions of the 4th, 6th, 8th, and 10th order deformation from conic, and AP, BP, CP, DP represent the non-rotationally symmetrical components of the 4th, 6th, 8th, and 10th order deformation from conic.
 16. The assembly according to claim 15, where the first surface comprises either a planar surface or an anamorphic lens surface.
 17. The assembly according to claim 15, further comprising a laser drive circuit for generating and delivering drive current signals to the laser light source.
 18. The assembly according to claim 15, further comprising a yoke that holds the assembly in alignment; and where the anamorphic lens comprises a plastic lens and the laser light source comprises a visible laser diode. 